style: enable more pyright rules

[CoderJoshDK]

[!NOTE] DO NOT REVIEW THIS. This is very much WIP. Will remove this note when ready to be reviewed.

Summary

Add in reportInconsistentOverload and reportInvalidTypeVarUse pyright rules

Closes #1440

Was actually pretty quick to put this together. So it wasn't wasted work, even if you disagree with this PR.

But as stated in the issue; these overloads were not doing anything anyway. The generic should be provided in the class instead of left as an Unknown. And maybe I am misunderstanding the code. If so, please let me know why this change is wrong.

Updated the docs files because nox was complaining about deprecated usage.

These changes should all be a noop.

Checklist

• [ ] If code changes were made, then they have been tested
  • [ ] I have updated the documentation to reflect the changes
  • [x] I have formatted the code properly by running uv run nox -s lint
  • [x] I have type-checked the code by running uv run nox -s pyright
• [x] This PR fixes an issue
• [ ] This PR adds something new (e.g. new method or parameters)
• [ ] This PR is a breaking change (e.g. methods or parameters removed/renamed)
• [ ] This PR is not a code change (e.g. documentation, README, ...)

[read-the-docs-community[bot]]

Documentation build overview

📚 disnake | 🛠️ Build #29999995 | 📁 Comparing 7ef84940aceafb8724309e0fdc7030c163d727fb against latest (d9b77a78de1ace6bc38db6f6b04f2358ca952418)

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Show files changed (48 files in total): 📝 48 modified | ➕ 0 added | ➖ 0 deleted

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ext/commands/api/prefix_commands.html	📝 modified

[CoderJoshDK]

@Enegg thank you for taking a look! Yea, I know a lot of things here are shifted around. This PR is not ready to be looked at anymore. Yes, there are a bunch of incorrect things in here. Will get to patching things up as they come up.

To be able to properly resolve some of the type errors, I need to resolve a bunch of Unknown situations too. So it is taking a bit of time and being a bit more complicated. Might need to lump this change in with a bigger Unknwon push. Will report back later.

[CoderJoshDK]

Going to wait for #1449 before I work on this more.

Also, after talking with @onerandomusername, I am going to move typing_extensions outside TYPE_CHECKING for TypeVar so we can consume the default in a much simpler way.